Directed acyclic graphs provide a convenient representation of reticulate evolution in systematic biology. In this paper we formalize and analyse a simple model in which evolved characteristics are passed on to all descendant species. We present two main results: first we show that the resulting observed sets of characteristics for the species at the leaves uniquely determine the digraph that described the evolution of the species, under certain restrictions. Second, we characterise when this digraph is actually a tree.
SubjectsField of Research::01 - Mathematical Sciences::0102 - Applied Mathematics::010202 - Biological Mathematics
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